Search a number
-
+
2350042007040 = 293257213179419
BaseRepresentation
bin100010001100101001011…
…010110100011000000000
322022122212110122020011100
4202030221122310120000
5302000341223211130
64555332220014400
7331533142320600
oct42145132643000
98278773566140
102350042007040
118267134a16a2
1231b554391400
131407b9a4cc20
1481a57b38c00
15411e3a7cc60
hex223296b4600

2350042007040 has 1440 divisors, whose sum is σ = 10796836770720. Its totient is φ = 466616844288.

The previous prime is 2350042007021. The next prime is 2350042007059. The reversal of 2350042007040 is 407002400532.

2350042007040 is a `hidden beast` number, since 2 + 350 + 0 + 4 + 200 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2350042007021) and next prime (2350042007059).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 2350042006995 and 2350042007013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 249495451 + ... + 249504869.

It is an arithmetic number, because the mean of its divisors is an integer number (7497803313).

Almost surely, 22350042007040 is an apocalyptic number.

2350042007040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2350042007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398418385360).

2350042007040 is an abundant number, since it is smaller than the sum of its proper divisors (8446794763680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2350042007040 is a wasteful number, since it uses less digits than its factorization.

2350042007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9492 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 2350042007040 its reverse (407002400532), we get a palindrome (2757044407572).

The spelling of 2350042007040 in words is "two trillion, three hundred fifty billion, forty-two million, seven thousand, forty".